Simplify the following:
(9 (4 x-(5 x)/3+2))/(10)
Put each term in 4 x-(5 x)/3+2 over the common denominator 3: 4 x-(5 x)/3+2 = (12 x)/3-(5 x)/3+6/3:
(9 (12 x)/3-(5 x)/3+6/3)/(10)
(12 x)/3-(5 x)/3+6/3 = (12 x-5 x+6)/3:
(9 (12 x-5 x+6)/3)/(10)
9/3 = (3×3)/3 = 3:
(3 (12 x-5 x+6))/10
Grouping like terms, 12 x-5 x+6 = (12 x-5 x)+6:
(3 ((12 x-5 x)+6))/10
12 x-5 x = 7 x:
ANSWER: (3(7x+6))/10
